What is the Least Common Multiple of 86974 and 86992?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 86974 and 86992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86974 and 86992, than apply into the LCM equation.

GCF(86974,86992) = 2
LCM(86974,86992) = ( 86974 × 86992) / 2
LCM(86974,86992) = 7566042208 / 2
LCM(86974,86992) = 3783021104

Least Common Multiple (LCM) of 86974 and 86992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86974 and 86992. First we will calculate the prime factors of 86974 and 86992.

Prime Factorization of 86974

Prime Factorization of 86992

Now multiplying the highest exponent prime factors to calculate the LCM of 86974 and 86992.

LCM(86974,86992) = 2⁴ × 43487¹ × 5437¹
LCM(86974,86992) = 3783021104